70 citations · 70 across the 4 of their papers we have counts for
4 papers
Equivalence of two canonical lists of elliptic functions
Robert Conte, Liangwen Liao, Chengfa Wu
We establish a one-to-one correspondence between,on one hand the four types of transcendental meromorphic solutions of the autonomous Schwarzian differential equations which are el…
Fermat functional equations over Riemann surfaces
Xianjing Dong, Liangwen Liao, Kai Liu
We investigate the existence of non-trivial holomorphic and meromorphic solutions of Fermat functional equations over an open Riemann surface . When is hyperbolic, we prove…
Exact meromorphic solutions of Schwarzian differential equations
Liangwen Liao, Chengfa Wu
This paper studies exact meromorphic solutions of the autonomous Schwarzian differential equations. All transcendental meromorphic solutions of five canonical types (among six) of…
Meromorphic solutions of higher order Briot-Bouquet differential equations
A. Eremenko, L. W. Liao, T. W. Ng
For differential equations where is a polynomial, we prove that all meromorphic solutions having at least one pole are elliptic functions, possibly degenerate…